# Chisini mean

From HandWiki

In mathematics, a function *f* of *n* variables

*x*_{1}, ...,*x*_{n}

leads to a **Chisini mean** *M* if for every vector <*x*_{1}, ..., *x*_{n}>, there exists a unique *M* such that

*f*(*M*,*M*, ...,*M*) =*f*(*x*_{1},*x*_{2}, ...,*x*_{n}).

The arithmetic, harmonic, geometric, generalised, Heronian and quadratic means are all Chisini means, as are their weighted variants.

They were introduced by Oscar Chisini in 1929.

## See also

## References

- Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106–116, 1929.

Original source: https://en.wikipedia.org/wiki/Chisini mean.
Read more |